Discussion:
Lin-Log Interpolation
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t***@gmail.com
2017-06-18 21:55:28 UTC
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Hello folks,

I've been assigned at my job the task to develop (or figure out) a method for calculating Fatigue Stress based on the Number of Cycles an specific material is subjected to.

On my X-axis I have the number of cycles, which adds up to more than 30 millions, on the other hand in the Y-axis I have the Stress value that results from the application of N number of cycles.

I must do this by means of a logarithmic-linear interpolation. I've been searching the whole internet without a CLEAR method. Anyone any idea how to solve this?

Thanks!
David Bernier
2017-06-18 23:48:54 UTC
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Post by t***@gmail.com
Hello folks,
I've been assigned at my job the task to develop (or figure out) a method for calculating Fatigue Stress based on the Number of Cycles an specific material is subjected to.
On my X-axis I have the number of cycles, which adds up to more than 30 millions, on the other hand in the Y-axis I have the Stress value that results from the application of N number of cycles.
I must do this by means of a logarithmic-linear interpolation. I've been searching the whole internet without a CLEAR method. Anyone any idea how to solve this?
Thanks!
In stress fatigue for materials, there is the S-N curve :

"plot of stress (S) against the number of cycles to failure (N), which
is known as an S-N curve".

There, the number of cycles is graphed on a logarithmic "X" axis:

https://www.nde-ed.org/EducationResources/CommunityCollege/Materials/Mechanical/S-NFatigue.htm

and

https://en.wikipedia.org/wiki/Fatigue_(material)

David Bernier
Bill
2017-06-19 04:33:34 UTC
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Post by t***@gmail.com
Hello folks,
I've been assigned at my job the task to develop (or figure out) a method for calculating Fatigue Stress based on the Number of Cycles an specific material is subjected to.
On my X-axis I have the number of cycles, which adds up to more than 30 millions, on the other hand in the Y-axis I have the Stress value that results from the application of N number of cycles.
I must do this by means of a logarithmic-linear interpolation. I've been searching the whole internet without a CLEAR method. Anyone any idea how to solve this?
Thanks!
Depending on the values involved, take the log of the x-values (N)
before you plot the points?
i.e. graph the points (log n, s(n)). Of course, i have no idea how you
are measuring the stress.

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